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romanna [79]
1 year ago
5

Solve 7c+10=17c A.) c=1B.) c=-1C.) C= -

\frac{5}{12} " alt=" \frac{5}{12} " align="absmiddle" class="latex-formula">D.) c= -\frac{5}{12}
Mathematics
1 answer:
Vladimir [108]1 year ago
7 0
Answer:

A) c = 1

Explanations:

The given equation is:

7c + 10 = 17c

Collect like terms:

17c - 7c = 10

10c = 10

Divide both sides by 10:

10c / 10 = 10 / 10

c = 1

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Brian has 40000 to invest in a mix of corporate and municipal bonds. The corporate bond pays 10% simple annual interest and the
jonny [76]

Answer:

Sum of money invested in corporate bonds = 30,000

Step-by-step explanation:

Total sum = 40,000

The rate of interest for corporate bonds = 10 % = 0.1

The rate of interest for municipal bonds = 6 % = 0.06

Total interest = 3600

Let sum of money invested in corporate bonds = x

The sum of money invested in municipal bonds = 40000 - x

x × 0.1 × 1 + (40000 - x) × 0.06 × 1 = 3600

(0.1- 0.06)x + 2400 = 3600

0.04 x = 1200

x = 30,000

Since x =  sum of money invested in corporate bonds

So  sum of money invested in corporate bonds = 30000

4 0
3 years ago
4(1-2b)+7b-10
likoan [24]

Answer:

if you're simplifying, it should be = -1b - 6

Step-by-step explanation:

1. 4(1-2b) + 7b -10 solve the parenthesis

2. 4 <u>- 8b</u> <u>+ </u><u>7b</u> - 10 combine like(same) terms

3. <u>4</u> - 1b <u>- 10</u> same as 2.

4. -1b - 6

5 0
3 years ago
Avery bought a washing machine originally priced at $864.72 but on sale for 30% off. After 4% sales tax, what was the total cost
atroni [7]

Answer: 629.51

Step-by-step explanation: 30% of 864.72 is 259.416

864.72 - 259.416 = 605.304      4% of 605.3 = 24.212     605.3 + 24.21 = 629.51

3 0
2 years ago
According to a survey conducted by Deloitte in 2017, 0.4702 of U.S. smartphone owners have made an effort to limit their phone u
musickatia [10]

Answer: 0.628

Step-by-step explanation:

Probability of U.S. smartphone owners have made an effort to limit their phone use in the past : p = 0.4702

Sample size : n= 54

Mean : \mu =(54)(0.4702)=25.39

Standard deviation:

\sigma=\sqrt{(54)(0.4702)}=\sqrt{25.39}\\\\\approx5.039

The probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past will be :

P(22\leq x\leq29)=P(21

Hence, the required probability = 0.628

5 0
3 years ago
Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer. 1 inch ≈
mr_godi [17]

Answer:

  7.763×10^7 inches

Step-by-step explanation:

  (1225\,mi)\dfrac{1\,in}{1.578\cdot 10^{-5}\,mi}=\dfrac{12.25}{1.578}\cdot 10^{2-(-5)}\,in \approx 7.763\cdot 10^7\,in

When writing 1225 in scientific notation, it is convenient to choose an exponent so that the division result comes out with the right scale factor. It is easy to see that 1.2 < 1.6, so use of numbers with exactly one digit to the left of the decimal point would result in a fraction as an answer. We want the answer to have 1 digit left of the decimal point, so by scaling the operands to be 12. and 1.6, we get that result. Of course, the powers of 10 are adjusted accordingly.

This scaling process only matters if you're computing the results by hand. Any calculator can properly keep track of the required exponents.

__

"Back in the day" when slide rules were the calculating tool of choice, the operands and answer to any multiplication or division problem were only shown as 3 (sometimes 4) significant digits. All of the power-of-ten scaling was done "by hand" (usually, mentally). That is, the division would be 1225/1578 ≈ 776 × some scale factor. This is where thinking of the numbers as 12.25/1.578 = 7.76 comes in handy.

3 0
3 years ago
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